Marcos T.O. Pimenta , Yino B. Cueva Carranza , Giovany M. Figueiredo , Olimpio Hiroshi Miyagaki
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Abstract
In this paper we study the nonhomogeneous Hénon elliptic problem involving the 1-Laplacian operator within the unit ball. Under some assumptions on the nonlinearity, and for sufficiently large parameter values, we establish the existence of a non-radial solution. Our approach relies on an approximation scheme in which the solution is obtained as the limit of solutions to -Laplacian type problems.
期刊介绍：
Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems.
The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.
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